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Geometric Sense
Lesson 14
Transformations
  Objectives/Vocab/Tips > Examples 1 | 2 | 3 > Practice: 1 | 2 | 3 > Reflection

Example 1:

Triangle EFG is shown on the grid.

  • After each point on the triangle translates (slides) up a distance of 2 units, what will be the coordinates of point E, point F, and point G?
  1. E(2,4), F(4,6), G(6,3)
  2. E(2,6), F(4,8), G(6,5)
  3. E(0,6), F(2,8), G(4,5)
  4. E(0,2), F(2,4), G(4,1)

Here is one way to solve this problem:

You want to be sure you fully understand what this problem is asking. You are being asked to slide the triangle on the grid up 2 units. It would be like cutting out the triangle and sliding it up 2 units.

Now that you know what it is you need to do, begin with point E. You want to place a new point, 2 units directly above point E. This will be your new point E. As you look at this new point, find its coordinates. The new coordinates are (0,6). Notice that this point went from (0,4) to (0,6). The x-coordinate stayed the same, but the y-coordinate changed by adding 2. Maybe this pattern will help us, lets see.

Move over to point F and go directly up 2 units. Point F now has the coordinates (2,8). Point F went from (2,6) to (2,8). Once again the x-coordinate stayed the same while the y-coordinate changed by adding 2 units to it. See if you can figure out point G now that you know the pattern.

Point G, when moved up 2 units changes from (4,3) to (4,5). Once again your pattern worked for this point!

Your three points have changed locations now to E(0,6), F(2,8), G(4,5). As you look over your choices you notice that letter C is the correct answer.

Example 2 >>

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